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Finding the Fourth Proportional to 733.98, 1,012.47 and 497.94

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Solution

The fourth proportional to 733.98, 1,012.47 and 497.94 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.98 : 1,012.47 = 497.94 : x
  2. Step 2: Convert to fraction form
    733.98/1,012.47 = 497.94/x
  3. Step 3: Cross multiply
    733.98x = 1,012.47 × 497.94
  4. Step 4: Simplify right side
    733.98x = 504,149.31
  5. Step 5: Solve for x
    x = 504,149.31/733.98
  6. Step 6: Final answer
    x = 686.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.